Inverse Trig. Functionsand Differentiation

# Inverse Trig. Functionsand Differentiation - domains...

This preview shows pages 1–9. Sign up to view the full content.

Inverse Trig. Functions & Differentiation Section 5.6

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Inverse Trig. Functions None of the 6 basic trig. functions has an inverse unless you restrict their domains. Look at chart on pg. 377.
Function Domain Range y = arcsin x -1< x < 1 I & IV y = arccos x -1< x < 1 I & II y = arctan x - < x < I & IV y= arccot x - < x < I & I y = arcsec x I & II y = arccsc I & IV 1 x 1 x

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
Inverse Properties f (f –1 (x)) = x and f –1 (f (x)) = x Remember that the trig. functions have inverses only in restricted

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: domains. Derivatives of Inverse Trig. Functions Let u be a differentiable function of x. [ ] 2 ' 1 arcsin u u u dx d-= [ ] 2 ' 1 arccos u u u dx d--= [ ] 2 ' 1 arctan u u u dx d + = [ ] 2 ' 1 cot u u u arc dx d +-= [ ] 1 sec 2 '-= u u u u arc dx d [ ] 1 csc 2 '--= u u u u arc dx d Joke Time Who stole the soap? The Robber Ducky! What do you call 2 spiders who just got married? Newlywebs...
View Full Document

{[ snackBarMessage ]}

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern